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8, 44, 224, 1124, 5624, 28124, 140624, 703124, 3515624, 17578124, 87890624, 439453124, 2197265624, 10986328124, 54931640624, 274658203124, 1373291015624, 6866455078124, 34332275390624, 171661376953124, 858306884765624
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-5).
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FORMULA
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a(n) = 5*a(n-1)+4.
a(n) = 6*a(n-1)-5*a(n-2), n>1.
G.f.: (8 - 4*x)/(1 - 6*x + 5*x^2). - Vincenzo Librandi, Jan 03 2013
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MATHEMATICA
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9 5^Range[0, 20] - 1 (* or *) LinearRecurrence[{6, -5}, {8, 44}, 20] (* Harvey P. Dale, Nov 01 2011 *)
CoefficientList[Series[(8 - 4 x)/(1 - 6 x + 5 x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 03 2013 *)
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PROG
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(MAGMA) [9*5^n-1: n in [0..30]];
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CROSSREFS
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Cf. A024049, A057651, A081655.
Sequence in context: A272154 A270935 A197213 * A082762 A249794 A147828
Adjacent sequences: A198765 A198766 A198767 * A198769 A198770 A198771
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Oct 30 2011
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STATUS
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approved
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